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Small-Size Algorithms for Type-IV Discrete Cosine Transform with Reduced Multiplicative Complexity

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Abstract

Discrete cosine transforms are widely used in smart radioelectronic systems for processing and analysis of incoming information. The popularity of using these transform is explained by the presence of fast algorithms that minimize the computational and hardware complexity of their implementation. Type-IV discrete cosine transform occupies a special place in the list of the specified transformations. This article proposes several algorithmic solutions for implementing the type-IV discrete cosine transform. The effectiveness of the proposed solutions is explained by the possibility of factorization of the DCT-IV matrix, which leads to a decrease in computational and implementation complexity. A set of completely parallel type-IV DCT algorithms for small lengths of signal sequences (N = 2, 3, 4, 5, 6, 7, 8, 9) is presented.

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  1. West Pomeranian University of Technology, Szczecin, Poland

    Aleksandr Cariow & Łukasz Lesiecki

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  1. Aleksandr Cariow
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Aleksandr Cariow and Łukasz Lesiecki

The authors declare that they have no conflict of interest.

The initial version of this paper in Russian is published in the journal “Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika,” ISSN 2307-6011 (Online), ISSN 0021-3470 (Print) on the link http://radio.kpi.ua/article/view/S0021347020090022 with DOI: https://doi.org/10.20535/S0021347020090022

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Cariow, A., Lesiecki, Ł. Small-Size Algorithms for Type-IV Discrete Cosine Transform with Reduced Multiplicative Complexity. Radioelectron.Commun.Syst. 63, 465–487 (2020). https://doi.org/10.3103/S0735272720090022

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